Contact processes and moment closure on adaptive networks

Details Contact processes and moment closure on adaptive networks Contact processes and moment closure on adaptive networks

2010-11-11

arxiv.org/abs/1011.2689v1

Thilo Gross and Hiroki Sayama (Eds.): Adaptive Networks, 191-208. Springer Verlag, New York, 2009

Physics

Physics and Society

18 pages, 5 figures

Scientific paper

Contact processes describe the transmission of distinct properties of nodes via the links of a network. They provide a simple framework for many phenomena, such as epidemic spreading and opinion formation. Combining contact processes with rules for topological evolution yields an adaptive network in which the states of the nodes can interact dynamically with the topological degrees of freedom. By moment-closure approximation it is possible to derive low-dimensional systems of ordinary differential equations that describe the dynamics of the adaptive network on a coarse-grained level. In this chapter we discuss the approximation technique itself as well as its applications to adaptive networks. Thus, it can serve both as a tutorial as well as a review of recent results.

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